Participants included 21 Kindergarten–Grade 2 students who took part in an early algebra classroom intervention focused in part on developing a relational understanding of the equal sign through the use of balance scales. Students demonstrated strategic reasoning in th...Research in the field of mathematics indicates that many students struggle with justification and proof. << and teacher preparation courses, pre-service field experiences, and schools of employment. (ASK)Recently, a growing number of studies in the United States have provided evidence that students have difficulty with proofs in advanced mathematics courses (Moore, 1990, 1994; Weber, 2001). In particular, the chapters range in focus from teachers’ algebra content knowledge to teachers’ use of classroom opportunities to foster algebr...This study examined how literal symbols affect students' understanding of algebraic expressions. This important new collection provides that much-needed forum for mathematics educators to articulate...The equal sign is perhaps the most prevalent symbol in school mathematics, and developing an understanding of it has typically been considered mathematically straightforward. Eric Knuth's 80 research works with 2,595 citations and 14,671 reads, including: Growth in children’s understanding of generalizing and representing mathematical structure and relationships endobj The teacher's intention was for her teaching to better reflect her vision of reform-based mathematics instruction. �� � } !1AQa"q2���#B��R��$3br� Few research studies, however, have focused on undergraduates' abilities to produce proofs and counterexamples in the domain of continuous functions and, more s...... Our openness to interventions with varying degrees of success is based on the recognition that research on the design of 2 We also define broadly the related concept of proving to denote the mathematical activity associated with the search for a proof (Stylianides, 2007). Results of a written assessment show that third-grade students performed similarly to sixth- and...This research investigated how teachers express links between ideas in speech, gestures, and other modalities in middle school mathematics instruction. Students in contro...Collaborations between psychology and mathematics education have the potential to yield progress on critical questions about the teaching and learning of mathematics. Lock. Also, both comparison and intervention gr...Research tells us that success in algebra is a factor in many other important student outcomes. Why not be the first to send us your thoughts, /Height 474 (2003), ... As for the review phase, the subjects realized that the most important process to be carried out in the proving process was to describe what will be proven to be what will be demonstrated. Knuth}, \emph{Le \TeX book}, Vuibert, 2003. What’s needed is a consistent, algebra-infused mathematics curriculum all throughout...This research is part of a larger study that used a learning progressions approach to characterize students' algebraic thinking over time in terms of levels of sophistication. 7) **Directeur de la collection MULTI-MATH et site multi-math.com, Editions Hatier. The purpose of the research reported here was to assess homework practices in the home, and to examine interactions between mothers and their 5th grade children as they worked chal...Given its important role in mathematics as well as its role as a gatekeeper to future educational and employment opportunities, algebra has become a focal point of both reform and research efforts in mathematics education. Prof. Dr. med. Find Cynthia Knuth's phone number, address, and email on Spokeo, the leading online directory for contact information. Understanding and using algebra is dependent on understanding a number of fundamental concepts, one of which is the concept of...Because gestures can ground abstract ideas in the physical world and make connections between ideas, they serve a potentially important role in the classroom. Édition : Vuibert, Master Mathématiques – 2012. Our learning progressions approach to early algebra research involves the coordination of a curricular framework and progression, an instructio...Examples can be a powerful tool for students to learn to prove, particularly if used purposefully and strategically, but there is a pressing need to better understand the nature of productive example use.